Preheat oven to 35 degrees F (175 degrees C). Grease an 8x12 inch baking dish.
Line the bottom of dish with green chiles. Sprinkle with 1/2 cup shredded cheese. Repeat layers twice more. In a medium bowl, whisk together milk and eggs. Season with salt and pepper. Pour egg mixture over chiles and cheese.
Bake in preheated oven for 25 to 3 minutes, or until filling is set. Let stand 5 to 1 minutes before serving
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